Final answer:
The Kelvin temperature at which 25.2 mol of Xe occupies a volume of 645 L at a pressure of 732 torr is 291 K.
Step-by-step explanation:
To find the Kelvin temperature at which 25.2 mol of Xe occupies a volume of 645 L at a pressure of 732 torr, we can use the ideal gas law equation: PV = nRT. Rearranging the equation, we have T = PV / nR where P is the pressure in atm, V is the volume in liters, n is the number of moles, and R is the ideal gas constant (0.0821 atm·L/mol·K). Plugging in the values, we have T = (732 torr)(645 L) / (25.2 mol)(0.0821 atm·L/mol·K). Converting torr to atm and simplifying the equation, we get T = 291 K. Therefore, the correct answer is B. 291 K.